Tag: standardized measurement

Electric capacitance of a conductor is the ability with which the conductor can hold the charge.
In SI system, unit of capacitance is farad($F$).
Hence, option D is not matched.

$\text{Kilowatt hour}$ is the $commercial$ unit of $electrical$ ENERGY.

The intensity of magnetic field at a point on the field is defined as the force on a unit north pole placed at that point.
Intensity of magnetization is measured in Oersted as a unit.

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. It is defines as force per unit area. The SI unit of pressure is $N/m^2$.

Damping force F = -bv, where v is velocity. Thus, b = F/v. Units of b = (kg * m / s^2) / (m / s) = kg / s.

From Coulomb's law, F = (1 / (4 pi epsilon_0)) * (q1 * q2 / r^2). Rearranging for epsilon_0 gives units of (Coulomb * Coulomb) / (newton * meter^2), which simplifies to Coulomb^2 / (newton * meter^2).

In the equation S = a + bt + ct^2, each term must have the same units as S (meters). Thus, ct^2 must be in meters. c * (s^2) = m, so c = m / s^2 = m * s^-2.

Let us take side of cube$=a$
then  $a^3=6a^2$
$\therefore a=6$
So volume of cube is:

Units of both $P $ and $ \dfrac {a}{V^2}$ must be same.
So, $\dfrac {a}{V^2}=P$  $\implies   a=PV^2$ 

Specific resistance of a material is given by